Least Common Multiple of 4252 and 4258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4252 and 4258 the smallest integer that is 9052508 that is divisible by both numbers.

Least Common Multiple (LCM) of 4252 and 4258 is 9052508.

LCM(4252,4258) = 9052508

LCM of 4252 and 4258

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4252 and 4258

LCM of 4252 and 4258 is 9052508

Least common multiple can be found by multiplying the highest exponent prime factors of 4252 and 4258. First we will calculate the prime factors of 4252 and 4258.

Prime Factorization of 4252


2 4252
2 2126
1063 1063
1

Prime factors of 4252 are 2,1063. Prime factorization of 4252 in exponential form is:

4252 = 22×10631

Prime Factorization of 4258


2 4258
2129 2129
1

Prime factors of 4258 are 2,2129. Prime factorization of 4258 in exponential form is:

4258 = 21×21291

Now multiplying the highest exponent prime factors to calculate the LCM of 4252 and 4258.

LCM(4252,4258) = 22×10631×21291
LCM(4252,4258) = 9052508

Factors of 4252

List of positive integer factors of 4252 that divides 4252 without a remainder.

1, 2, 4, 1063, 2126, 4252

Factors of 4258

List of positive integer factors of 4258 that divides 4258 without a remainder.

1, 2, 2129, 4258

Least Common Multiple of 4252 and 4258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4252 and 4258, than apply into the LCM equation.

GCF(4252,4258) = 2
LCM(4252,4258) = ( 4252 × 4258) / 2
LCM(4252,4258) = 18105016 / 2
LCM(4252,4258) = 9052508

Properties of LCM 4252 and 4258

(i) The LCM of 4258 and 4252 is associative

LCM of 4252 and 4258 = LCM of 4258 and 4252

Related Least Common Multiples of 4252

Related Least Common Multiples of 4258

Frequently Asked Questions on LCM of 4252 and 4258

1. What is the LCM of 4252 and 4258?

Answer: LCM of 4252 and 4258 is 9052508.

2. What are the Factors of 4252?

Answer: Factors of 4252 are 1, 2, 4, 1063, 2126, 4252. There are 6 integers that are factors of 4252. The greatest factor of 4252 is 4252.

3. What are the Factors of 4258?

Answer: Factors of 4258 are 1, 2, 2129, 4258. There are 4 integers that are factors of 4258. The greatest factor of 4258 is 4258.

4. How to Find the LCM of 4252 and 4258?

Answer:

Least Common Multiple of 4252 and 4258 = 9052508

Step 1: Find the prime factorization of 4252

4252 = 2 x 2 x 1063

Step 2: Find the prime factorization of 4258

4258 = 2 x 2129

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9052508 = 2 x 2 x 1063 x 2129

Step 4: Therefore, the least common multiple of 4252 and 4258 is 9052508.